Constructive geometry, descriptive and analytic (Q2778949)
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scientific article; zbMATH DE number 1723616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive geometry, descriptive and analytic |
scientific article; zbMATH DE number 1723616 |
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2 April 2002
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constructive geometry
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descriptive geometry
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analytic geometry
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Constructive geometry, descriptive and analytic (English)
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This book is a relaunch of the book ``Darstellende Geometrie'' (1990; Zbl 0696.51002), (1991; Zbl 0743.51002) by \textit{W. D. Klix} and \textit{H. Nickel}. Methods of analytic geometry now are supplied alongside with descriptive methods. The idea of showcasing `procedures' has already been central to first issue. It highlights the algorithmic aspects of constructive geometry. A CD-ROM with exercises and solutions is delivered together with the book. NEWLINENEWLINENEWLINEThe following topics are dealt with in this excellent textbook: Geometric principles (planimetric constructions, elementary properties of conics), geometric methods of projection (axonometry, normal projections, central projections), principles of analytic geometry (homogeneous and inhomogeneous coordinates, intersections, affine and projective mappings, curves and surfaces), examples of instructive procedures and some interesting surfaces (spheres, prisms and pyramids, cylinders and cones, quadrics and the generation of surfaces by sweeping).
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